Aspiring to these wide generalizations, the analysis of quadratic functions soars to a pitch from whence it may look proudly down on… — James Joseph Sylvester Copy Share Image
Time was when all the parts of the subject were dissevered, when algebra, geometry, and arithmetic either lived apart or kept up… — James Joseph Sylvester Copy Share Image
...There is no study in the world which brings into more harmonious action all the faculties of the mind than [mathematics], ... or, like… — James Joseph Sylvester Copy Share
Number, place, and combination . . . the three intersecting but distinct spheres of thought to which all mathematical ideas admit of being referred. — James Joseph Sylvester Copy Share
The world of ideas which it [mathematics] discloses or illuminates, the contemplation of divine beauty and order which it induces, the harmonious connexion of… — James Joseph Sylvester Copy Share
The object of pure physics is the unfolding of the laws of the intelligible world; the object of pure mathematics that of unfolding the… — James Joseph Sylvester Copy Share
As the prerogative of Natural Science is to cultivate a taste for observation, so that of Mathematics is, almost from the starting point, to… — James Joseph Sylvester Copy Share
[Mathematics] unceasingly calls forth the faculties of observation and comparison; one of its principal weapons is induction: it has frequent recourse to trial and… — James Joseph Sylvester Copy Share
Aspiring to these wide generalizations, the analysis of quadratic functions soars to a pitch from whence it may look proudly down on the feeble… — James Joseph Sylvester Copy Share
“Mathematics is not a book confined within a cover and bound between brazen clasps, whose contents it need only patience to ransack; it is… — James Joseph Sylvester Copy Share
The object of pure Physic[s] is the unfolding of the laws of the intelligible world; the object of pure Mathematic[s] that of unfolding the… — James Joseph Sylvester Copy Share
Chemistry has the same quickening and suggestive influence upon the algebraist as a visit to the Royal Academy, or the old masters may be… — James Joseph Sylvester Copy Share
The theory of ramification is one of pure colligation, for it takes no account of magnitude or position; geometrical lines are used, but these… — James Joseph Sylvester Copy Share
The object of pure Mathematic (is) that of unfolding the laws of human intelligence. — James Joseph Sylvester Copy Share
May not music be described as the mathematics of the sense, mathematics as music of the reason? — James Joseph Sylvester Copy Share
So long as a man remains a gregarious and sociable being, he cannot cut himself off from the gratification of the instinct of imparting… — James Joseph Sylvester Copy Share
